1. (a) Write the following system in matrix notation: x = 7x1 + 5x2 – 9x3 x2 = 4x1 + X2 + x3 | - 2x2 + 3x3 = (b) Write the following system without the use of matrices: t+1 + 4t2 X1 = x2 1 -1 x2 (c) Which, if any, of the systems is nonhomogeneous?

1. (a) Write the following system in matrix notation: x = 7x1 + 5x2 – 9x3 x2 = 4x1 + X2 + x3 | - 2x2 + 3x3 = (b) Write the following system without the use of matrices: t+1 + 4t2 X1 = x2 1 -1 x2 (c) Which, if any, of the systems is nonhomogeneous?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

1. (a) Write the following system in matrix notation:
x = 7x1 + 5x2 – 9x3
x2 = 4x1 + x2+ x3
%3D
x'3 =
- 2x2 + 3x3
(b) Write the following system without the use of matrices:
X1
1
t+1
X1
+
4t2
1
x2
(c) Which, if any, of the systems is nonhomogeneous?

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